The computer-science aptitude score, x, and the achievement score, y (measured by a comprehensive final), were measured for 20 students in a beginning computer-science course. The results were as follows. x 5 17 21 14 21 22 16 21 18 17 17 16 7 7 4 21 17 10 18 15 y 19 19 24 36 27 26 25 28 17 27 21 24 18 18 14 28 21 22 20 21 (a) Find the equation of the line of best fit. (Round your slope to four decimal places and your y-intercept to three decimal places.) = + x (b) Find se2. (Round your answer to two decimal places.)
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
The computer-science aptitude score, x, and the achievement score, y (measured by a comprehensive final), were measured for 20 students in a beginning computer-science course. The results were as follows.
| x | 5 | 17 | 21 | 14 | 21 | 22 | 16 | 21 | 18 | 17 | 17 | 16 | 7 | 7 | 4 | 21 | 17 | 10 | 18 | 15 |
| y | 19 | 19 | 24 | 36 | 27 | 26 | 25 | 28 | 17 | 27 | 21 | 24 | 18 | 18 | 14 | 28 | 21 | 22 | 20 | 21 |
= + x
(b) Find se2. (Round your answer to two decimal places.)
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